Answers:
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Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
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DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
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BE = 34 for two reasons
- Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent.
- E is the midpoint of AB, so BE is half as long as AB
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We don't use the info that AC = 48.
Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
Answer:
13/18
Step-by-step explanation:
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The first step is to calculate the total number of pizza slices there are.
We know each slice is 1/8 of the pizza. (think of 1/8 as 1 out of 8 pieces)
This means each pizza has 8 slices.
There are 3 pizzas so there are 8 x 3 = 24 slices total
Next we want to figure how many slices of pizza they ate which will help us figure out how many are left.
They ate 3/4 of the pizza, so in other words only 1/4 of the pizza is left.
In order to figure out how many slices are left, all we need to do is find out what 1/4 of the total number of slices are.
# of slices left = Total number of slices x 1/4 (1/4 of the pizza is left)
# of slices left = 24 x 1/4 = 24÷4 = 6
This means there are 6 slices of pizza left.
